Identifying OddEven-Order Binary Kernel Slices for a Nonlinear System Using Inverse Repeat m-Sequences
Joint Authors
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-03-22
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The study of various living complex systems by system identification method is important, and the identification of the problem is even more challenging when dealing with a dynamic nonlinear system of discrete time.
A well-established model based on kernel functions for input of the maximum length sequence (m-sequence) can be used to estimate nonlinear binary kernel slices using cross-correlation method.
In this study, we examine the relevant mathematical properties of kernel slices, particularly their shift-and-product property and overlap distortion problem caused by the irregular shifting of the estimated kernel slices in the cross-correlation function between the input m-sequence and the system output.
We then derive the properties of the inverse repeat (IR) m-sequence and propose a method of using IR m-sequence as an input to separately estimate odd- and even-order kernel slices to reduce the chance of kernel-slice overlapping.
An instance of third-order Wiener nonlinear model is simulated to justify the proposed method.
American Psychological Association (APA)
Hu, Jin-yan& Yan, Gang& Wang, Tao. 2015. Identifying OddEven-Order Binary Kernel Slices for a Nonlinear System Using Inverse Repeat m-Sequences. Computational and Mathematical Methods in Medicine،Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1057905
Modern Language Association (MLA)
Hu, Jin-yan…[et al.]. Identifying OddEven-Order Binary Kernel Slices for a Nonlinear System Using Inverse Repeat m-Sequences. Computational and Mathematical Methods in Medicine No. 2015 (2015), pp.1-9.
https://search.emarefa.net/detail/BIM-1057905
American Medical Association (AMA)
Hu, Jin-yan& Yan, Gang& Wang, Tao. Identifying OddEven-Order Binary Kernel Slices for a Nonlinear System Using Inverse Repeat m-Sequences. Computational and Mathematical Methods in Medicine. 2015. Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1057905
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1057905